Angles A and B are supplementary angles. Angle A measures 72° and angle B measures (3x + 6)°.

Find x.

22
34
72
108
pls help

Step-by-step explanation:

perimeter=2(l+b)

18=2[(x+2)+x]

18=2(x+x+2)

18=2(2x+2)

18=4x+4

collecting like terms

18+4=4x

22=4x

dividing by 4

22/4=x

5²/4=5½

According to the question the option C is the correct answer that is 8 6/8 or 8 ¾ calculated by simplifying the fraction.

To represent a whole, every number of equal parts or fractions can be utilised. In standard English, fractions show how many units there are of a particular size. 8, 3/4. Fractions are part of a whole. In mathematics, numbers are stated as a ratio of a numerator to the denominator. They can all be expressed as simple fractions as integers. A fraction appears in a complex fraction's numerator or denominator. The numerators of true fractions are smaller than the denominators. A sum that is a fraction of a total is called a fraction. You can analyse something by dissecting it into smaller pieces. For instance, the number 12 is used to symbolise half of a whole number or object.

To add mixed numbers, we need to first convert any fractions to a common denominator. In this case, we can use 10 as the common denominator.

12 1/2 = 12 + 1/2 = 12 + 5/10 = 12 5/10

4 7/10 = 4 + 7/10

Now we can add the two mixed numbers:

12 5/10 + 4 7/10 = 16 12/10

Simplifying the fraction by dividing the numerator and denominator by their greatest common factor of 2, we get:

16 12/10 = 16 6/5

Therefore, the answer is C) 8 6/8 or 8 3/4.

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Answer:

-26

Step-by-step explanation:

y=mx+c

m= (y2 - y1 ) / (x2-x1)

m= (10-1) / (48 -36)

m = 0.75

10 = 0.75(48) + c

c = 10 - 36

c = -26

Answer:

Your Average Speed was 8.57057285 mph.

Step-by-step explanation:

Answer:

4/5, 3/6, 5/12

Step-by-step explanation:

4/5 = 0.8

3/6 = 0.5

5/12 = 0.4166666667

Step-by-step explanation:

if p(A)=0.17, p(B)=0.42 and p(AorB)=0.59, are A and B mutually exclusive

Answer:

6561

Step-by-step explanation:

81×81=6561

parenthesis first then multiply together

Answer:

6561

Step-by-step explanation:

hope this is correct!!

9x9=81

9x9=81

81x81=

6561

Answer:

y=-1/6x+2

Step-by-step explanation:

y=-1/6x+2

Answer:

A

Step-by-step explanation:

Answer C

On the graph, it shows how the Highlands has more dots to the middle so it is clustered there in that are.

If you look at the Lowlands, you can see that the dots are more on the left.

Hope this helps!!

Answer:

the answer is c because of what the text says

Answer:

B. 24%

Step-by-step explanation:

Filling the character requirement lol

Answer:

b

Step-by-step explanation:

it gies in and out the equation

Answer:

Step-by-step explanation:

The teacher has 7/8 pounds of clay given.

gives out 1/16 per station

7/8= 0.875 pound

7/8 / 1/16 pound= 14 maximum stations

14 stations divided by 2 classes = 7 in each room

There are 21 different city combinations possible for Peter's summer traveling.

To determine the number of different city combinations possible for Peter's summer traveling, we need to calculate the number of combinations of choosing 5 cities out of the 7 available cities.

Since the order in which he visits the cities does not matter, we are dealing with combinations rather than permutations.

The formula to calculate the number of combinations is given by the binomial coefficient, also known as "n choose k," denoted as C(n, k) or (nCk).

In this case, we have 7 cities to choose from, and Peter will visit 5 cities. Thus, we can calculate the number of city combinations as follows:

C(7, 5) = 7! / (5! * (7-5)!)

= 7! / (5! * 2!)

= (7 * 6 * 5!) / (5! * 2)

= (7 * 6) / 2

= 42 / 2

= 21

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The number is irrational.

\(\sqrt{\frac{6}{8} } =\sqrt{0.75} =0.8660254038...\)

Since this number shows to have infinite decimal figures, it cannot be represented as the ratio of 2 integers. Hence, the number is irrational.

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Note. In case the number expressed in the question was \(\frac{\sqrt{6} }{8}\), the answer  would still be irrational, for the same reasons explained above.

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Answer: A

because slope are

Answer:

Rhoda, whose ACT has a z-score of 1, scored in the 84th percentile in the ACT, compared to Bill, whose SAT has a z-score of -2, who scored in the 2nd percentile on the SAT. Due to the higher percentile(higher z-score)  on her test, Rhoda did better on her respective test than Bill, and thus, his logic is wrong.

Step-by-step explanation:

Z-score:

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Bill:

Scored 300, so \(X = 300\)

SAT has a μ of 500 and a σ of 100.

His z-score is:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{300 - 500}{100}\)

\(Z = -2\)

\(Z = -2\) has a p-value of 0.02.

This means that Bill, whose SAT score has Z = -2, scored in the 2nd percentile.

Rhoda

Scored 25, so \(X = 25\).

ACT has a μ of 20 and a σ of 5

Her z-score:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{25 - 20}{5}\)

\(Z = 1\)

\(Z = 1\) has a p-value of 0.84

This means that Rhoda, whose ACT score has Z = 1, scored in the 84th percentile.

What is wrong with Bill’s logic ?

Rhoda, whose ACT has a z-score of 1, scored in the 84th percentile in the ACT, compared to Bill, whose SAT has a z-score of -2, who scored in the 2nd percentile on the SAT. Due to the higher percentile(higher z-score)  on her test, Rhoda did better on her respective test than Bill, and thus, his logic is wrong.

Answer:

21

Step-by-step explanation:

One third of the number can be represented by 1/3t.

To make an equation, set this equal to 7.

1/3t = 7

Then, solve for t by dividing each side by 1/3:

1/3t = 7

t = 21

So, the number is 21.

Answer:

5 nails and 4 screws

Step-by-step explanation:

Make it into an expression where N= amount of nails bought and S= amount of screws bought. Then set it equal to the amount he paid.

ie: 2n+1s=14

Now make another equation for how many he bought.\

ie: n+s=9

Now subtract one of the letter variables from the second equation to get one on alone.

ie: n=9-s

Now, since you have a value for N, substitute it for the value in the original equation so that there's only one variable.

ie: 2(9-s)+1s=14

Now solve for S.

ie: 18-2s+s=14

ie: -s=-4

ie: s=4

Now you have a number value for S that you can plug in the original equation to find the value of N.

ie: 2n+4=14

ie: 2n=10

ie: n=5

Now plug in your values for N and S into the original equation to check it. Your answer is 5 nails and 4 screws.

The Binomial probability of x = 3 for the given parameters is 0.2048

The Binomial probability relation can expressed as :

\(P(x) = nCx * p^{n} * q^{n-x}\)

where :

for x = 3

We substitute x into the equation thus :

P(x = 3) = 17C3 * (1/8)³ * (1 - 1/8)¹⁴

P(x = 3) = 0.2048

Therefore, the probability of x = 3 in the scenario given is 0.2048

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Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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There was 4 dollar of discount on the total amount.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.

At the counter, he received a discount. If he only paid 22 dollars total, then

Total cost 11 + 15 = 26

But 26 - 22 = 4

Therefore, the discount was 4 dollar.

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Answer:

Option C. (2x + 1)(x - 6)

Step-by-step explanation:

To know which option is equivalent to 2x² - 11x - 6, we shall simplify the expression as follow:

2x² - 11x - 6

Multiply the 1st term (i.e 2x²) and last term (i.e - 6) together. This is illustrated below:

2x² × - 6 = - 12x²

Next, find two factors of - 12x² such that when we add them together, it will result to the 2nd term (i.e - 11x) in the expression above.

The factors are x and - 12x

Next, replace - 11x with x and - 12x in the expression 2x² - 11x - 6 as shown below:

2x² - 11x - 6

2x² + x - 12x - 6

Next, we shall factorise the expression 2x² + x - 12x - 6 as follow:

2x² + x - 12x - 6

x(2x + 1) - 6(2x + 1)

(2x + 1)(x - 6)

Thus,

2x² - 11x - 6 is equivalent to (2x + 1)(x - 6)

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

0.4

Step-by-step explanation:

all I got to say is that the answer is 0.4 %100

Answer:(2x+7)+(2x+7)

Step-by-step explanation:

what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer

Answer:

the graph of y=f(x)will shift up 9 units